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Proof step 32 from proof hasSharing-put-shortval (previous step)

is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ⊦ r = jvmref, (∀ sks, sks0. ¬ fits(r0, sks, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ fits(r0, sks0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) .refval = jvmref ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) ≠ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks0])) ↔ ¬ hasSharing(r0, st), junkref(str, r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ hasSharing(r, st) ↔ (∃ sks1, sks2. fits(r, sks1, st) ∧ fits(r, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r -- sks1] .refval ≠ jvmref ∧ st[r -- sks1] = st[r -- sks2])
Proof step 31:
is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ⊦ r = jvmref, (∀ sks, sks0. ¬ fits(r0, sks, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ fits(r0, sks0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) .refval = jvmref ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) ≠ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks0])) ↔ ¬ (∃ sks1, sks2. fits(r0, sks1, st) ∧ fits(r0, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r0 -- sks1] .refval ≠ jvmref ∧ st[r0 -- sks1] = st[r0 -- sks2]), junkref(str, r0, st)

Rule argument

[crewrite-arg: hasSharing-def, F, [st, r] → [st, r0]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, r0)]]